2165132618208 has 144 divisors (see below), whose sum is σ = 7055056060416. Its totient is φ = 616993931520.

The previous prime is 2165132618203. The next prime is 2165132618227. The reversal of 2165132618208 is 8028162315612.

2165132618208 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 1 + 3 + 2 + 618 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165132618203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629928 + ... + 2174183.

It is an arithmetic number, because the mean of its divisors is an integer number (48993444864).

Almost surely, 2^{2165132618208} is an apocalyptic number.

2165132618208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2165132618208 is an abundant number, since it is smaller than the sum of its proper divisors (4889923442208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2165132618208 is a wasteful number, since it uses less digits than its factorization.

2165132618208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804517 (or 2804506 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2165132618208 in words is "two trillion, one hundred sixty-five billion, one hundred thirty-two million, six hundred eighteen thousand, two hundred eight".